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arXiv · 2309.15673

Kähler-Yang-Mills Equations and Vortices

Oscar García-Prada
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Abstract

The Kähler-Yang-Mills equations are coupled equations for a Kähler metric on a compact complex manifold and a connection on a complex vector bundle over it. After briefly reviewing the main aspects of the geometry of the Kähler-Yang-Mills equations, we consider dimensional reductions of the equations related to vortices - solutions to certain Yang-Mills-Higgs equations.

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Oscar García-Prada. 2024-04-11. Kähler-Yang-Mills Equations and Vortices. https://doi.org/10.3842/sigma.2024.032

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